A unified analysis of algebraic flux correction schemes for convection–diffusion equations

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dc.bibliographicCitation.firstPage655eng
dc.bibliographicCitation.issue4eng
dc.bibliographicCitation.lastPage685eng
dc.bibliographicCitation.volume75eng
dc.contributor.authorBarrenechea, Gabriel R.
dc.contributor.authorJohn, Volker
dc.contributor.authorKnobloch, Petr
dc.contributor.authorRankin, Richard
dc.date.accessioned2022-06-21T13:17:05Z
dc.date.available2022-06-21T13:17:05Z
dc.date.issued2018
dc.description.abstractRecent results on the numerical analysis of algebraic flux correction (AFC) finite element schemes for scalar convection–diffusion equations are reviewed and presented in a unified way. A general form of the method is presented using a link between AFC schemes and nonlinear edge-based diffusion schemes. Then, specific versions of the method, that is, different definitions for the flux limiters, are reviewed and their main results stated. Numerical studies compare the different versions of the scheme.eng
dc.description.versionpublishedVersioneng
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/9107
dc.identifier.urihttps://doi.org/10.34657/8145
dc.language.isoengeng
dc.publisherBerlin ; Heidelberg : Springereng
dc.relation.doihttps://doi.org/10.1007/s40324-018-0160-6
dc.relation.essn2281-7875
dc.relation.ispartofseriesSeMA journal 75 (2018), Nr. 4eng
dc.rights.licenseCC BY 4.0 Unportedeng
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/eng
dc.subjectAlgebraic flux correctioneng
dc.subjectComparison of limiterseng
dc.subjectDiscrete maximum principleeng
dc.subjectEdge diffusioneng
dc.subjectSteady-state convection-diffusion equationeng
dc.subject.ddc510eng
dc.titleA unified analysis of algebraic flux correction schemes for convection–diffusion equationseng
dc.typearticleeng
dc.typeTexteng
dcterms.bibliographicCitation.journalTitleSeMA journaleng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeZeitschriftenartikeleng
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